Abstract

The problem of matching double-chirped mirrors to the ambient medium, which currently limits the design of ultrabroadband dispersion-compensating mirrors is reconsidered. A design of double-chirped mirror pairs that exhibit high reflectivity and a controlled group-delay dispersion in combination over 1 octave is presented. These mirrors permit the generation of octave-spanning spectra directly from a Ti:sapphire laser oscillator.

© 2001 Optical Society of America

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  1. A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
    [CrossRef] [PubMed]
  2. A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
    [CrossRef]
  3. M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferenz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
    [CrossRef] [PubMed]
  4. I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Self-starting 6.5-fs pulses from a KLM Ti:sapphire laser,” Opt. Lett. 22, 1009–1011 (1997).
    [CrossRef] [PubMed]
  5. A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser,” Opt. Lett. 20, 602–604 (1995).
    [CrossRef] [PubMed]
  6. R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
    [CrossRef] [PubMed]
  7. E. J. Mayer, J. Möbius, A. Euteneuer, W. W. Rühle, and R. Szipöcs, “Ultrabroadband chirped mirrors for femtosecond lasers,” Opt. Lett. 22, 528–530 (1997).
    [CrossRef] [PubMed]
  8. F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
    [CrossRef] [PubMed]
  9. N. Matuschek, F. X. Kärtner, and U. Keller, “Theory of double-chirped mirrors,” IEEE J. Sel. Top. Quantum Electron. 4, 197–208 (1998).
    [CrossRef]
  10. U. Morgner, F. X. Kärtner, S. H. Cho, Y. Chen, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Sub-two-cycle pulses from a Kerr-lens mode-locked Ti:sapphire laser,” Opt. Lett. 24, 411–413 (1999).
    [CrossRef]
  11. D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Semiconductor saturable absorber assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime,” Opt. Lett. 24, 631–633 (1999).
    [CrossRef]
  12. R. Szipöcs and A. Kohazi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B 65, 115–135 (1997).
    [CrossRef]
  13. V. Laude and P. Tournois, “Chirped-mirror-pairs for ultrabroadband dispersion control,” in Conference on Lasers and Electro-optics (CLEO/US), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper CTuR4.
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    [CrossRef]
  15. R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, M. Tilsch, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001).
    [CrossRef]
  16. N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom tailored dispersion characteristics,” IEEE J. Quantum Electron. 5, 129–137 (1999).
    [CrossRef]
  17. J. A. Dobrowolski, A. V. Tikhonravov, M. K. Trubetskov, B. T. Sullivan, and P. G. Verly, “Optical single-band normal-incidence antireflection coatings,” Appl. Opt. 35, pp. 644–658 (1996).
    [CrossRef] [PubMed]
  18. V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
    [CrossRef]
  19. M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
    [CrossRef]
  20. K. Naganuma, K. Mogi, and H. Yamada, “Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light,” Opt. Lett. 15, 393–395 (1990).
    [CrossRef] [PubMed]
  21. U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, “Nonlinear optics with phase-controlled pulses in the sub-two-cycle regime,” submitted to Phys. Rev. Lett.
  22. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
    [CrossRef] [PubMed]
  23. A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
    [CrossRef] [PubMed]

2001 (1)

2000 (3)

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

1999 (3)

1998 (1)

N. Matuschek, F. X. Kärtner, and U. Keller, “Theory of double-chirped mirrors,” IEEE J. Sel. Top. Quantum Electron. 4, 197–208 (1998).
[CrossRef]

1997 (7)

1996 (1)

1995 (1)

1994 (3)

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
[CrossRef] [PubMed]

V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
[CrossRef]

M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
[CrossRef]

1990 (1)

Apai, P.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Apolonski, A.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Baltuska, A.

A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Boiko, A.

Chen, Y.

Cho, S. H.

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

De Silvestri, S.

DeBell, G.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Dobrowolski, J. A.

Ell, R.

Euteneuer, A.

Ferencz, K.

Ferenz, K.

Fujimoto, J. G.

Gallmann, L.

Hall, J. L.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Hänsch, T.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Haus, H. A.

Heine, C.

Holzwarth, R.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Ippen, E. P.

Jones, D. J.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Jung, I. D.

Kärtner, F. X.

Keller, U.

Kohazi-Kis, A.

R. Szipöcs and A. Kohazi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B 65, 115–135 (1997).
[CrossRef]

Köházi-Kis, A.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Kovácz, A. P.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Krausz, F.

Lakó, S.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Lederer, M. J.

Lenzner, M.

Louderback, A. W.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Luther-Davies, B.

Matuschek, N.

Mayer, E. J.

Möbius, J.

Mogi, K.

Morf, R.

Morgner, U.

Morier-Genoud, F.

Mott, L.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

Naganuma, K.

Nisoli, M.

Poppe, A.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Pshenichnikov, M.

A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Ranka, J. K.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Rühle, W. W.

Sartania, S.

Scheuer, V.

R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, M. Tilsch, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001).
[CrossRef]

D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Semiconductor saturable absorber assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime,” Opt. Lett. 24, 631–633 (1999).
[CrossRef]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Self-starting 6.5-fs pulses from a KLM Ti:sapphire laser,” Opt. Lett. 22, 1009–1011 (1997).
[CrossRef] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[CrossRef] [PubMed]

M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
[CrossRef]

V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
[CrossRef]

Schibli, T.

Spielmann, C.

Spielmann, Ch.

Steinmeyer, G.

Stentz, A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Stingl, A.

Sullivan, B. T.

Sutter, D. H.

Svelto, O.

Szipöcs, R.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferenz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
[CrossRef] [PubMed]

E. J. Mayer, J. Möbius, A. Euteneuer, W. W. Rühle, and R. Szipöcs, “Ultrabroadband chirped mirrors for femtosecond lasers,” Opt. Lett. 22, 528–530 (1997).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

R. Szipöcs and A. Kohazi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B 65, 115–135 (1997).
[CrossRef]

A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser,” Opt. Lett. 20, 602–604 (1995).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
[CrossRef] [PubMed]

Tempea, G.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Tikhonravov, A. V.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

J. A. Dobrowolski, A. V. Tikhonravov, M. K. Trubetskov, B. T. Sullivan, and P. G. Verly, “Optical single-band normal-incidence antireflection coatings,” Appl. Opt. 35, pp. 644–658 (1996).
[CrossRef] [PubMed]

Tilsch, M.

R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, M. Tilsch, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001).
[CrossRef]

D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Semiconductor saturable absorber assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime,” Opt. Lett. 24, 631–633 (1999).
[CrossRef]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Self-starting 6.5-fs pulses from a KLM Ti:sapphire laser,” Opt. Lett. 22, 1009–1011 (1997).
[CrossRef] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[CrossRef] [PubMed]

M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
[CrossRef]

V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
[CrossRef]

Trubetskov, M. K.

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

J. A. Dobrowolski, A. V. Tikhonravov, M. K. Trubetskov, B. T. Sullivan, and P. G. Verly, “Optical single-band normal-incidence antireflection coatings,” Appl. Opt. 35, pp. 644–658 (1996).
[CrossRef] [PubMed]

Tschudi, T.

R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, M. Tilsch, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001).
[CrossRef]

D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Semiconductor saturable absorber assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime,” Opt. Lett. 24, 631–633 (1999).
[CrossRef]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Self-starting 6.5-fs pulses from a KLM Ti:sapphire laser,” Opt. Lett. 22, 1009–1011 (1997).
[CrossRef] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[CrossRef] [PubMed]

M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
[CrossRef]

V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
[CrossRef]

Udem, T.

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Verly, P. G.

Wei, Z.

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
[CrossRef] [PubMed]

Wiersma, D.

A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Windeler, R. S.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Yamada, H.

Appl. Opt. (1)

Appl. Phys. B (3)

A. Baltuska, Z. Wei, M. Pshenichnikov, D. Wiersma, and R. Szipöcs, “All-solid-state cavity dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

R. Szipöcs and A. Kohazi-Kis, “Theory and design of chirped dielectric laser mirrors,” Appl. Phys. B 65, 115–135 (1997).
[CrossRef]

R. Szipöcs, A. Köházi-Kis, S. Lakó, P. Apai, A. P. Kovácz, G. DeBell, L. Mott, A. W. Louderback, A. V. Tikhonravov, and M. K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires–Tournois interferometers,” Appl. Phys. B 70, 51–57 (2000).
[CrossRef]

IEEE J. Quantum Electron. (1)

N. Matuschek, F. X. Kärtner, and U. Keller, “Analytical design of double-chirped mirrors with custom tailored dispersion characteristics,” IEEE J. Quantum Electron. 5, 129–137 (1999).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

N. Matuschek, F. X. Kärtner, and U. Keller, “Theory of double-chirped mirrors,” IEEE J. Sel. Top. Quantum Electron. 4, 197–208 (1998).
[CrossRef]

Opt. Lett. (11)

K. Naganuma, K. Mogi, and H. Yamada, “Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light,” Opt. Lett. 15, 393–395 (1990).
[CrossRef] [PubMed]

R. Szipöcs, K. Ferencz, C. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
[CrossRef] [PubMed]

A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser,” Opt. Lett. 20, 602–604 (1995).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. Pshenichnikov, and D. Wiersma, “Optical pulse compression to 5 fs at a 1-MHz repetition rate,” Opt. Lett. 22, 102–104 (1997).
[CrossRef] [PubMed]

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferenz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
[CrossRef] [PubMed]

E. J. Mayer, J. Möbius, A. Euteneuer, W. W. Rühle, and R. Szipöcs, “Ultrabroadband chirped mirrors for femtosecond lasers,” Opt. Lett. 22, 528–530 (1997).
[CrossRef] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[CrossRef] [PubMed]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Self-starting 6.5-fs pulses from a KLM Ti:sapphire laser,” Opt. Lett. 22, 1009–1011 (1997).
[CrossRef] [PubMed]

U. Morgner, F. X. Kärtner, S. H. Cho, Y. Chen, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Sub-two-cycle pulses from a Kerr-lens mode-locked Ti:sapphire laser,” Opt. Lett. 24, 411–413 (1999).
[CrossRef]

D. H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, “Semiconductor saturable absorber assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime,” Opt. Lett. 24, 631–633 (1999).
[CrossRef]

R. Ell, U. Morgner, F. X. Kärtner, J. G. Fujimoto, E. P. Ippen, V. Scheuer, M. Tilsch, T. Tschudi, M. J. Lederer, A. Boiko, and B. Luther-Davies, “Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser,” Opt. Lett. 26, 373–375 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. Hänsch, and F. Krausz, Phys. Rev. Lett. 85, 740 (2000).
[CrossRef] [PubMed]

Proc. SPIE (2)

V. Scheuer, M. Tilsch, and T. Tschudi, “Reduction of absorption losses in ion beam sputter deposition of optical coatings for the visible and near infrared,” in Optical Interference Coating, F. Abelès, ed., Proc. SPIE 2253, 445–454 (1994).
[CrossRef]

M. Tilsch, V. Scheuer, and T. Tschudi, “Direct optical monitoring instrument with a double detection system for the control of multilayer systems from the visible to the near infrared,” in Optical Interference Coatings, F. Abelès, ed., Proc. SPIE 2253, 414–422 (1994).
[CrossRef]

Science (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond modelocked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Other (2)

U. Morgner, R. Ell, G. Metzler, T. R. Schibli, F. X. Kärtner, J. G. Fujimoto, H. A. Haus, and E. P. Ippen, “Nonlinear optics with phase-controlled pulses in the sub-two-cycle regime,” submitted to Phys. Rev. Lett.

V. Laude and P. Tournois, “Chirped-mirror-pairs for ultrabroadband dispersion control,” in Conference on Lasers and Electro-optics (CLEO/US), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper CTuR4.

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Figures (4)

Fig. 1
Fig. 1

DCM pairs (a) M1 and (b) M2. DCM M1 can be decomposed into double-chirped backmirror MB matched to a medium with the index of the topmost layer. In M2 a layer with quarter-wave thickness at the center frequency of the mirror and an index equivalent to the topmost layer of backmirror MB is inserted between the backmirror and the AR coating. We can reoptimize the new backmirror that includes the quarter-wave layer to achieve the same phase as that of mirror MB, with an additional π-phase shift over the whole octave of bandwidth.

Fig. 2
Fig. 2

Decomposition of a DCM in double-chirped backmirror MB and an AR coating.

Fig. 3
Fig. 3

(a) Reflectivity and GDD of the designed DCM pair consisting of M1 and M2, each comprising 30 layer pairs of SiO2 and TiO2. (b) Measured reflectivity and GDD of the fabricated DCM pair, M1 (dashed curves) and M2 (solid curves).

Fig. 4
Fig. 4

Experimentally observed power spectrum on linear and logarithmic scales.

Equations (13)

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a1b1=Tar·a2b2,Tar=1tr*t*rt1t*,
ρb=exp[iϕb(ω)].
GDDb=-d2ϕb(ω)/dω2
ρtot=tt*ρb1-r*/ρb1-rρb.
ρtot=tt*exp[iϕb(ω)]1-z*1-z,z=rexp[iϕb(ω)].
ϕtot=2ϕt+ϕb(ω)+ϕGTI,
ϕGTI=2 arctanIm(z)1+Re(z).
Tg,GTI=dϕGTIdω
-2rTgb(ω)cos[ϕb(ω)],
Tgb(ω)=-dϕb(ω)/dω,
GDDGTI=d2ϕGTIdω2
-2r{Tgb2(ω)sin[ϕb(ω)]+GDDb cos[ϕb(ω)]}.
ρtot,2=-tt*2 exp[i2ϕb(ω)]1-z*21-z2.

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